One number is 8 more than twice another. If their difference is 25 what is the larger number?174235
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the statement:
One number is 8 more than twice another.
The difference of the two numbers is 25
Solution:
The numbers can be represented as,
x = small number
8 + 2x = large number
The given numbers can be equated in a solution having a difference of 25.
8 + 2x - x = 25
Combine like terms, and transpose 8 on the other side of the equation, hence we must take note that when transposing a number, the sign changes.
x = 25 -8
x = 17
Small number = 17
Large number = 8 + 2(17)
Large number = 42
Final answer:
Large number = 42